Prepare the eggs. Crack all the eggs into a medium bowl, add the salt, and beat until smooth.
Cook. Add the butter to large non-stick pan over medium-low heat. Allow the butter to heat and sizzle. Once sizzling, pour the beaten eggs into the pan and immediately start swirling a spatula around the pan until small curdles begin to form (30 seconds). Then, start making long sweeps all across the pan until larger curdles begin to form (another 30 seconds). When the eggs are creamy and still runny in some spots, turn off the heat, give it another quick stir, and serve immediately topped with pepper and chives.